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Finding the Fourth Proportional to 2,299.90, 3,449.88 and 912.64

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Solution

The fourth proportional to 2,299.90, 3,449.88 and 912.64 is: 1,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.90 : 3,449.88 = 912.64 : x
  2. Step 2: Convert to fraction form
    2,299.90/3,449.88 = 912.64/x
  3. Step 3: Cross multiply
    2,299.90x = 3,449.88 × 912.64
  4. Step 4: Simplify right side
    2,299.90x = 3,148,498.48
  5. Step 5: Solve for x
    x = 3,148,498.48/2,299.90
  6. Step 6: Final answer
    x = 1,368.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.